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curve_edge.rs
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curve_edge.rs
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use fj_math::{Point, Segment};
use crate::objects::{CurveKind, Edge};
use super::LineSegmentIntersection;
/// The intersection between a curve and an [`Edge`], in curve coordinates
#[derive(Clone, Copy, Debug, Eq, PartialEq, Hash, Ord, PartialOrd)]
pub enum CurveEdgeIntersection {
/// The curve and edge intersect at a point
Point {
/// The intersection point, in curve coordinates on the curve
point_on_curve: Point<1>,
},
/// The edge lies on the curve
Coincident {
/// The end points of the edge, in curve coordinates on the curve
points_on_curve: [Point<1>; 2],
},
}
impl CurveEdgeIntersection {
/// Compute the intersection
///
/// # Panics
///
/// Currently, only intersections between lines and line segments can be
/// computed. Panics, if a different type of curve or [`Edge`] is
/// passed.
pub fn compute(curve: &CurveKind<2>, edge: &Edge) -> Option<Self> {
let curve_as_line = match curve {
CurveKind::Line(line) => line,
_ => todo!("Curve-edge intersection only supports lines"),
};
let edge_as_segment = {
let edge_curve_as_line = match edge.curve().kind() {
CurveKind::Line(line) => line,
_ => {
todo!("Curve-edge intersection only supports line segments")
}
};
let edge_vertices = match edge.vertices().get() {
Some(vertices) => vertices.map(|vertex| {
edge_curve_as_line.point_from_line_coords(vertex.position())
}),
None => todo!(
"Curve-edge intersection does not support continuous edges"
),
};
Segment::from_points(edge_vertices)
};
let intersection =
LineSegmentIntersection::compute(curve_as_line, &edge_as_segment)?;
let intersection = match intersection {
LineSegmentIntersection::Point { point_on_line } => Self::Point {
point_on_curve: point_on_line,
},
LineSegmentIntersection::Coincident { points_on_line } => {
Self::Coincident {
points_on_curve: points_on_line,
}
}
};
Some(intersection)
}
}
#[cfg(test)]
mod tests {
use fj_math::Point;
use crate::objects::{CurveKind, Edge, Surface};
use super::CurveEdgeIntersection;
#[test]
fn compute_edge_in_front_of_curve_origin() {
let surface = Surface::xy_plane();
let curve = CurveKind::u_axis();
let edge = Edge::build()
.line_segment_from_points(&surface, [[1., -1.], [1., 1.]]);
let intersection = CurveEdgeIntersection::compute(&curve, &edge);
assert_eq!(
intersection,
Some(CurveEdgeIntersection::Point {
point_on_curve: Point::from([1.])
})
);
}
#[test]
fn compute_edge_behind_curve_origin() {
let surface = Surface::xy_plane();
let curve = CurveKind::u_axis();
let edge = Edge::build()
.line_segment_from_points(&surface, [[-1., -1.], [-1., 1.]]);
let intersection = CurveEdgeIntersection::compute(&curve, &edge);
assert_eq!(
intersection,
Some(CurveEdgeIntersection::Point {
point_on_curve: Point::from([-1.])
})
);
}
#[test]
fn compute_edge_parallel_to_curve() {
let surface = Surface::xy_plane();
let curve = CurveKind::u_axis();
let edge = Edge::build()
.line_segment_from_points(&surface, [[-1., -1.], [1., -1.]]);
let intersection = CurveEdgeIntersection::compute(&curve, &edge);
assert!(intersection.is_none());
}
#[test]
fn compute_edge_on_curve() {
let surface = Surface::xy_plane();
let curve = CurveKind::u_axis();
let edge = Edge::build()
.line_segment_from_points(&surface, [[-1., 0.], [1., 0.]]);
let intersection = CurveEdgeIntersection::compute(&curve, &edge);
assert_eq!(
intersection,
Some(CurveEdgeIntersection::Coincident {
points_on_curve: [Point::from([-1.]), Point::from([1.]),]
})
);
}
}